A note on the exact synchronization by groups for a coupled system of wave equations

DOI10.1002/mma.3062zbMath1330.35245OpenAlexW2117082240MaRDI QIDQ5892057

Bopeng Rao, Ta-Tsien Li

Publication date: 14 January 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3062

zbMATH Keywords

Dirichlet boundary controlsnon-exact controllabilityconditions of compatibility

Mathematics Subject Classification ID

Controllability (93B05) Observability (93B07) PDEs in connection with control and optimization (35Q93) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (12)

Exact boundary controllability for a coupled system of wave equations with Neumann boundary controls ⋮ From phenomena of synchronization to exact synchronization and approximate synchronization for hyperbolic systems ⋮ Criteria of Kalman's Type to the Approximate Controllability and the Approximate Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls ⋮ Determination of generalized exact boundary synchronization matrix for a coupled system of wave equations ⋮ Generalized exact boundary synchronization for a coupled system of wave equations with Dirichlet boundary controls ⋮ Exact synchronization by groups for a coupled system of wave equations with Dirichlet boundary controls ⋮ Exact boundary synchronization by groups for a kind of system of wave equations coupled with velocities ⋮ Local exact boundary synchronization for a kind of first order quasilinear hyperbolic systems ⋮ On the approximate boundary synchronization for a coupled system of wave equations: direct and indirect controls ⋮ Controllability of classical solutions implies controllability of weak solutions for a coupled system of wave equations and its application ⋮ Induced generalized exact boundary synchronizations for a coupled system of wave equations ⋮ Exact boundary synchronization for a kind of first order hyperbolic system

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls
• Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls

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